1398301920 has 192 divisors, whose sum is σ = 4911943680. Its totient is φ = 371520000.

The previous prime is 1398301909. The next prime is 1398301943. The reversal of 1398301920 is 291038931.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1861545 + ... + 1862295.

It is an arithmetic number, because the mean of its divisors is an integer number (25583040).

Almost surely, 2^1398301920 is an apocalyptic number.

1398301920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1398301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455971840).

1398301920 is an abundant number, since it is smaller than the sum of its proper divisors (3513641760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1398301920 is a wasteful number, since it uses less digits than its factorization.

1398301920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1398301920 is about 37393.8754343542. The cubic root of 1398301920 is about 1118.2364678282.

The spelling of 1398301920 in words is "one billion, three hundred ninety-eight million, three hundred one thousand, nine hundred twenty".